6 papers
A universal phase-plane model for in vivo protein aggregation
Matthew W. Cotton, Alain Goriely, David Klenerman +1
Neurodegenerative diseases are driven by the accumulation of protein aggregates in the brain of affected individuals. The aggregation behaviour in vitro is well understood and driv…
Generalized invariants meet constitutive neural networks: A novel framework for hyperelastic materials
Denisa Martonová, Alain Goriely, Ellen Kuhl
The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on th…
A multiscale theory for network advection-reaction-diffusion
Hadrien Oliveri, Emilia Cozzolino, Alain Goriely
Mathematical network models are extremely useful to capture complex propagation processes between different regions (nodes), for example the spread of an infectious agent between d…
The Darboux Classification of Curl Forces
Arash Yavari, Alain Goriely
We study particle dynamics under curl forces. These forces are a class of non-conservative, non-dissipative, position-dependent forces that cannot be expressed as gradient of a pot…
The multiscale mechanics of axon durotaxis
Christoforos Kassianides, Alain Goriely, Hadrien Oliveri
During neurodevelopment, neuronal axons navigate through the extracellular environment, guided by various cues to establish connections with distant target cells. Among other facto…
Broken detailed balance and entropy production in directed networks
Ramón Nartallo-Kaluarachchi, Malbor Asllani, Gustavo Deco +3
The structure of a complex network plays a crucial role in determining its dynamical properties. In this work, we show that the the degree to which a network is directed and hierar…